Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let A be a 3 x 3 matrix having entries from, the set {-1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is ________
Text Solution
Verified by ExpertsThe correct answer is:
414
(414)
Case-I: 1 
7 times
and - 1 
2 times
number of possible matrix = 
=36
Case-II: 1 
6 times,
- 1 
1 times
and 0 
2 times
number of possible matrix = 
= 252
Case-Ill: 1 
5 times, and 0 
4 times
number of possible matrix = 
=126
Hence total number of all such matrix A
= 414
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